11265000 has 80 divisors (see below), whose sum is σ = 35238720. Its totient is φ = 3000000.

The previous prime is 11264993. The next prime is 11265029. The reversal of 11265000 is 56211.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 14625 + ... + 15375.

It is an arithmetic number, because the mean of its divisors is an integer number (440484).

Almost surely, 2^11265000 is an apocalyptic number.

11265000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11265000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17619360).

11265000 is an abundant number, since it is smaller than the sum of its proper divisors (23973720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11265000 is an equidigital number, since it uses as much as digits as its factorization.

11265000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 780 (or 761 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 11265000 is about 3356.3372893677. The cubic root of 11265000 is about 224.1697798720.

The spelling of 11265000 in words is "eleven million, two hundred sixty-five thousand".